Some Subclasses of Meromorphically Functions Associated with the Convolution Structure
Sep 02, 2017
About this article
Published Online: Sep 02, 2017
Page range: 3 - 19
Received: Aug 24, 2016
Accepted: Dec 21, 2016
DOI: https://doi.org/10.1515/awutm-2017-0001
Keywords
© Annals of West University of Timisoara - Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In this present paper we introduce and investigate each of the following new subclasses Fmp,λ,l,k(α;ϕ), Ĝmp,λ, l(α;ϕ) and Nmp,λ,l(α;ϕ) as well as Tmp,λ,l,k(α;ϕ), Ĝmp,λ, l(α;ϕ) and Ŕ̂mp,λ, l(α;ϕ) of meromorphic functions, which is defined by means of a certain meromorphically p-modified version of the convolution structure. Such results as inclusion relationships, integral representations and convolution properties for these function classes are proved.